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The phrase "and is the function" is grammatically correct and can be used in written English.
It can be used when discussing the role or purpose of something in a specific context, often in technical or academic writing.
Example: "The variable 'x' is defined in the equation, and is the function that determines the output value."
Alternatives: "and serves as the function" or "and represents the function".
Exact(13)
and is the function defined by (3.3a), then (5.2).
If is pseudo-almost periodic function and is the function defined in (2.5).
where,, and is the function that returns the smallest integer larger than.
where is the learning rate at time step and is the function for topological neighborhood of neuron at time step.
For two functions and in, the convolution or Hadamard product of and is the function defined by.
(ii) Generate image using (3) where,, and is the function that returns the smallest integer larger than.
Similar(47)
Let and be the function defined as (3.7).
where and being the functions of and and.
Let and be the functions defined in (2.1).
Let be the symmetric space and and be the functions as in Example 3.8.
We have that, where and are the functions given by (2.8) and (2.9), respectively.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com